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Finding the Fourth Proportional to 6,522.88, 9,785.08 and 2,364.85

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Solution

The fourth proportional to 6,522.88, 9,785.08 and 2,364.85 is: 3,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.88 : 9,785.08 = 2,364.85 : x
  2. Step 2: Convert to fraction form
    6,522.88/9,785.08 = 2,364.85/x
  3. Step 3: Cross multiply
    6,522.88x = 9,785.08 × 2,364.85
  4. Step 4: Simplify right side
    6,522.88x = 23,140,199.93
  5. Step 5: Solve for x
    x = 23,140,199.93/6,522.88
  6. Step 6: Final answer
    x = 3,547.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.